TECHNICAL NOTES
Dec 29, 2009

Rigorous Estimation of Local Accuracies

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Publication: Journal of Surveying Engineering
Volume 136, Issue 3

Abstract

This technical note introduces a rigorous calculation of “local accuracies.” The term local accuracies refers to the relative error between two arbitrary points (uncertainty of one point with respect to the other), expressed in a local horizon three-dimensional reference frame (e,n,u) , that were connected using any geodetic-surveying methodology [optical procedures, global positioning system (GPS), etc.]. It is calculated as a function of the full global Cartesian variance-covariance matrix of the (x,y,z) coordinates of the points defining the spatial network.

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Acknowledgments

The writers would like to thank the contribution of Nishanthi Wijekoon in drawing the figures.

References

Burkholder, E. F. (2008). The 3-D spatial data model. Foundation of the spatial data infrastructure, CRC, Boca Raton, Fla.
Federal Geodetic Control Subcommittee (FGCS) and Federal Geographic Data Committee (FGDC). (1998). “Geoespatial positioning accuracy standards. Part 2: Standards for geodetic networks.” Rep. No. FGCD-STD-007.2-1998, National Geodetic Survey, Silver Spring, Md.
Leick, A. (2004). GPS satellite surveying, 3rd Ed., Wiley, Hoboken, N.J.
Snay, R. A., and Soler, T. (2008). “Continuously operating reference station (CORS): History, applications, and future enhancements.” J. Surv. Eng., 134(4), 95–104.
Soler, T. (1976). “On differential transformations between Cartesian and curvilinear (geodetic) coordinates.” Rep. No. 236, Dept. of Geodetic Science, The Ohio State Univ., Columbus, Ohio.
Soler, T., and Hothem, L. D. (1988). “Coordinate systems used in geodesy: Basic definitions and concepts.” J. Surv. Eng., 114(2), 84–97.
Soler, T., and Johnson, S. D. (1987). “Alternative geometric determination of altazimuthal-distance covariance matrices.” J. Surv. Eng., 113(2), 57–69.

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Published In

Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 136Issue 3August 2010
Pages: 120 - 125

History

Received: May 26, 2009
Accepted: Nov 17, 2009
Published online: Dec 29, 2009
Published in print: Aug 2010

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Authors

Affiliations

Tomás Soler, M.ASCE [email protected]
Chief Technical Officer, Spatial Reference System Div., National Geodetic Survey, NOS, National Oceanic and Atmospheric Administration, 1315 East-West Hwy, Silver Spring, MD 20910 (corresponding author). E-mail: [email protected]
Chief Geodesist, National Geodetic Survey, NOS, National Oceanic and Atmospheric Administration, 1315 East-West Hwy, Silver Spring, MD 20910. E-mail: [email protected]

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